# Category:Real Intervals

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This category contains results about **Real Intervals**.

Definitions specific to this category can be found in Definitions/Real Intervals.

Informally, the set of all real numbers between any two given real numbers $a$ and $b$ is called a **(real) interval**.

## Subcategories

This category has the following 5 subcategories, out of 5 total.

## Pages in category "Real Intervals"

The following 48 pages are in this category, out of 48 total.

### C

- Closed Interval Defined by Absolute Value
- Closed Intervals form Neighborhood Basis in Real Number Line
- Closed Real Interval is Closed Set
- Closed Real Interval is Compact
- Closed Real Interval is Neighborhood Except at Endpoints
- Closed Real Interval is not Open Set
- Closure of Half-Open Real Interval is Closed Real Interval
- Closure of Irrational Interval is Closed Real Interval
- Closure of Rational Interval is Closed Real Interval
- Closure of Real Interval is Closed Real Interval
- Complement of Closed Interval Defined by Absolute Value
- Complement of Interval Defined by Absolute Value
- Complement of Open Interval Defined by Absolute Value
- Condition for Continuity on Interval

### H

### I

### O

- Open Ball in Real Number Line is Open Interval
- Open Interval Defined by Absolute Value
- Open Rational-Number Balls form Neighborhood Basis in Real Number Line
- Open Real Interval is not Closed Set
- Open Real Interval is not Closed Set/Corollary
- Open Real Interval is not Compact
- Open Real Interval is Open Ball
- Open Real Interval is Open Set
- Open Real Interval is Open Set/Corollary
- Open Real Interval is Subset of Closed Real Interval
- Open Reciprocal-N Balls form Neighborhood Basis in Real Number Line
- Open Unit Interval is Proper Subset of Closed Unit Interval